An aluminium rod of length 90 cm is clamped at its midpoint and is set into longitudinal vibrations by stroking it with resined cloth. Assume that the rod vibrates in its fundamental mode of vibration . The density of aluminium is 2600 kg/m^(3)and its Young's modulus is 7.80 xx 10^(10) N//m^(2). speed of soundin air is 340 m/s. The speed of sound in aluminium is :

An aluminium rod of length 90 cm is clamped at its midpoint and is set

1.	An aluminium rod of length 90 cm is clamped at its midpoint and is set into longitudinal vibrations by stroking it with resined cloth. Assume that the rod vibrates in its fundamental mode of vibration . The density of aluminium is 2600 kg/m^(3)and its Young's modulus is 7.80 xx 10^(10) N//m^(2). speed of soundin air is 340 m/s. The speed of sound in aluminium is :
Answer» 548 m/s 5480 m/s 54.5 m/s 5.48 m/s Solution :V = `sqrt((V)/(rho)) = sqrt((7.80xx10^(10))/(2600)) = 5480` m/s so correct CHOICE is (B) .

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